Welcome To GED On Line Lessons Welcome To GED On Line Lessons
By Christian Okolo DPS Adult Education East Campus, Detroit.
Microsoft Clip Art
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Lesson: Solving Linear Equations. What is Linear Equation?
Linear equation is an equation that generates a straight line when
plotted on a graph paper: X
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Michigan Curriculum Standard: Michigan Curriculum Standard:
Standard V.1: Operations and their Properties. Students understand
and use various types of operations (e.g., addition, subtraction,
multiplication, and division) to solve problems. Standard V.2:
Algebraic and Analytic Thinking. Students analyze problems to
determine the appropriate process for solution, and use algebraic
notations to model or represent problems. X
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ISTE Standard: ISTE Standard: Standard 4 Critical thinking,
problem solving, and decision making. Students use critical
thinking skills to plan and conduct research, manage projects,
solve problems, and make informed decisions using appropriate
digital tools and resources. X
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Materials for the lesson: Materials for the lesson: Pen,
pencils, paper, work sheet, white board, computer, over head
projector. The over head projector will be used to show a video of
the application of linear equations in real life. X
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Classroom Set Up Classroom Set Up This lesson is design for a
diverse classroom with students of various learning styles.
Students can work in groups or as individuals. X
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Objective: Objective: By the end of this lesson students will
be able to solve One-step, Two- Step, and Multi- Step Linear
Equations. X
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Procedure: Procedure: Solving linear equation is like balancing
the scale: Place all letters on the left arm of the scale and all
numbers on the right arm of the scale as shown. The equal sign is
the pivot of the scale. Add and subtract numbers and letters on
both sides of the scale to balance the equation. X = 2, -25 -15, 45
x, y, n,
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Examples: Examples: Solve the following equations: Ex 1. 6x =
12 EX 2. 5x + 2 = 3x + 10 EX 3. 4(y 2) = 2(y + 4) X
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Example 1: 6x = 12 Example 1: 6x = 12 This is One-Step
Equation. Step: Divide both sides of the equation by 6; then
simplify by cancelling the denominators and numerators on both
sides of the equation: 6x = 12 6 Answer: x = 2 X
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Example 2: 5x + 2 = 3x + 10 This is Two-Step-Equation. Step 1:
Move all letters to the left side of the equal sign and all numbers
the right side of the equal sign as shown: 5x 3x = 10 2 2x = 8
Step2: Divide both sides by 2: 2x/2 = 8/2 x = 4 X
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Example 3: 4(y 2) = 2(y + 4) This is Multi-Step-Equation. Step
1 Apply distributive property by multiplying numbers in the
parenthesis as shown: 4(y 2) = 2(y + 4) 4y 8 = 2y + 8 Now, bring
like terms together by balancing the equation: X
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Step 2 Step 2 We balance the equation by Adding and subtracting
on both sides of the equation as shown: 4y 8 = 2y + 8 2y +8 = 2y +
8 2y 0 = 0 16 We have: 2y = 16 X
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Step 3 Step 3 Divide both sides of the equation by the
coefficient of ''y'': The coefficient is always the number in front
of the letter; we have: 2y = 16 2 Answer: y = 8 X
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In Class Practice In Class Practice Now that you know how to
solve linear equations, you must solve the following problems to
see if you mastered the skills presented in this lessons. Get a
scratch piece of paper and solve following equations. X
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Solve the following equations Solve the following equations 1.
4(m + 3) = 3(m 3) 2. 8(3x 5) = 10 2x 3. 2(z + 3) = 5(2z-2)-12
Answer Key: 1. m= -21 2. x= 25/13 3. z= 7/2 X
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Special Accommodations Students with disabilities and slow
learners will be given extra time to complete their work. For help
with home work assignments, visit: www.catchupmath.com
www.catchupmath.com X
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Home work Assignment Home work Assignment Complete the
following problems as soon as possible. 1. 6(x 2) = 4 + 2x 2. 5(x
1) = 2(7 + x) 3. 4(y + 5) = 3(y 4) 4. 7x 8 = 20 5. 2(4m + 3) = 12 +
2m X
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Answer Key: Home work Assignment 1. x =4 2. x = 19/3 3. y = -32
4. x = 4 5. m = 1 Now that you know how to solve equations, you are
ready for our Algebra Contest. X
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Next is our Algebra: Contest Next is our Algebra: Contest To
compete in the Algebra contest you must complete all the home work
assignment with a min. score of 90%. This is the time for you to
prove that you are a champion in Algebra. Earn your bragging right
by completing the problems on time. Speed and accuracy is the key
to success in Algebra tests. X
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Contest Instructions Get a scratch piece paper click on any of
the problems on the menu. Solve the problem immediately and check
your answer. If you get an applause that means your answer is
correct. If you get and evil laugh, or elephant walk; that means
your answer is wrong. You must re-do the problem immediately. You
can work as a group or as individuals. X
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Contest Menu Contest Menu Problem 1 100 points Problem 3 250
points Problem 4 275 points Problem 2 125 points X Problem 5 350
points Problem 6 400 points
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100 points: Solve the equation for x 12x = 60 x=? 12 5 -10 6 D
C B A X
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125 Point: Solve for x 125 Point: Solve for x Solve: 12x + 7 =
3x 20; x = ? 9x 7 10 3 D C B A X
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250 Point: Solve the equation for m 250 Point: Solve the
equation for m Solve: 5(m + 4) = 7(m 2) m =? m = 10 m = -15 m = 17
m = 2 D C B A X
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275 Point: Solve for y 275 Point: Solve for y Solve: 4(3y -
2)=4(y+2)+2y-3 y =? y = 4 y = 1/2 y = 3 y = 13/6 D C B A X
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350 Point: Solve for z 350 Point: Solve for z Solve: 2(4z -
3)=4(z+1)+3(2z-2) z =? z = 4 z = 8 z = -2 z = 3 D C B A X
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400 Point: Solve for m 400 Point: Solve for m Solve:
2(3m-2)=4(m+2)+ 2m-5 m =? 6 3 4 m = 6 m =-5/2 m = 4/5 m = 5/4 D C B
A X
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That is Correct! That is Correct! Click on the Home Button to
Return to Contest Menu X
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Sorry! That is not the correct answer Sorry! That is not the
correct answer Click the Return Button to go back to the previous
slide. X
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Sorry! That is not the correct answer Sorry! That is not the
correct answer Click the Return Button to go back to the previous
slide. X
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THE END THE END This is the end of the contest. if you scored
1400-1500 points, visit the Algebra Hall of Fame to claim your
trophy. X Algebra Hall of Fame click here